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If z^(2) + z + 1 = 0 where z is a com...

If ` z^(2) + z + 1 ` = 0 where z is a complex number then the value of ` ( z + (1)/( z))^(2) + ( z^(2) + (1)/( z^(2)))^(2) + . . . + ( z^(6) + (1)/( z^(6))) ^(2) = `

A

18

B

54

C

6

D

12

Text Solution

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The correct Answer is:
D
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